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Finding the Fourth Proportional to 257,544.60, 355,410.44 and 144,367.36

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Solution

The fourth proportional to 257,544.60, 355,410.44 and 144,367.36 is: 199,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,544.60 : 355,410.44 = 144,367.36 : x
  2. Step 2: Convert to fraction form
    257,544.60/355,410.44 = 144,367.36/x
  3. Step 3: Cross multiply
    257,544.60x = 355,410.44 × 144,367.36
  4. Step 4: Simplify right side
    257,544.60x = 51,309,666,939.24
  5. Step 5: Solve for x
    x = 51,309,666,939.24/257,544.60
  6. Step 6: Final answer
    x = 199,226.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.